An Occurrence at Owl Creek Bridge

I'm reading a book on the Civil War right now, and read yesterday the chapter on the Battle of Shiloh (Pittsburg Landing). I noticed on the map of the battle field that an Owl Creek borders the field to the west. Was that the same Owl Creek that features in the Ambrose Bierce short story, An Occurrence at Owl Creek Bridge? Apparently not. The Shiloh Owl Creek is located in Tennessee, whereas the short story's Owl Creek is supposed to be located in Alabama.

Of course, the whole thing reminds me of the Twilight Zone episode (original airdate, February 28, 1964) that we all watched in high school.